3712136064 has 256 divisors, whose sum is σ = 12436623360. Its totient is φ = 954777600.

The previous prime is 3712136063. The next prime is 3712136101. The reversal of 3712136064 is 4606312173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712136063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431409 + ... + 1433999.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 2^3712136064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3712136064 is an abundant number, since it is smaller than the sum of its proper divisors (8724487296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3712136064 is a wasteful number, since it uses less digits than its factorization.

3712136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3712136064 is about 60927.3014665839. The cubic root of 3712136064 is about 1548.3695743734.

The spelling of 3712136064 in words is "three billion, seven hundred twelve million, one hundred thirty-six thousand, sixty-four".